Ervin Goldfain. The Strange Attractor Structure of Turbulence and Effective Field Theories (draft)
Submitted on: Apr 10, 2019, 20:46:39
Natural Sciences / Physics / Quantum field theory
Description: Recent work has conjectured that, under general boundary conditions, non-equilibrium Renormalization Group flows are likely to end up on strange attractors. If this conjecture is true, effective field theories must necessarily reflect the properties of these attractors. We start from the observation that, seemingly disparate concepts such as the Berry phase, gauge potentials and the curvature tensor of General Relativity (GR), share a common geometric foundation. Developing further, we posit that the dynamics of gauge and gravitational fields may be derived from the global attributes of strange attractors. The motivation behind this ansatz is that the Navier-Stokes equations bridge the gap between fluid turbulence, on the one hand, and the mathematics of GR and gauge theory, on the other.
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The Strange Attractor Structure of Turbulence and Effective Field Theories.pdf